Two identical 9.60-g metal spheres (small enough to be treated as particles) are hung from separate 300-mm strings attached to the same nail in a ceiling. Surplus electrons are added to each sphere, and then the spheres are brought in contact with each other and released. Their equilibrium position is such that each string makes a 13.0 angle with the vertical. How many surplus electrons are on each sphere?

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 74P: In the simple Bohr model of the ground state of the hydrogen atom, the electron travels in a...
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Two identical 9.60-g metal spheres (small enough to be treated
as particles) are hung from separate 300-mm strings attached
to the same nail in a ceiling. Surplus electrons are added to each
sphere, and then the spheres are brought in contact with
each other and released. Their equilibrium position is such
that each string makes a 13.0 angle with the vertical. How
many surplus electrons are on each sphere?

Expert Solution
Step 1

Given:

The mass of the spheres: m = 9.6 g = 9.6×10-3 kg

Length of the strings: l=300 mm =0.3 m

Angle made by each string with the vertical at equilibrium: θ=13°

We need to find the number of surplus electrons on each of the spheres.

 

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